1. Data from a school census show that the mean weight of college students was 45 kilos, with a standard deviation of 3 kilos. A sample of 100 college students was found to have a mean weight of 47 kilos. Are the 100 college students really heavier than the rest, using 5% level of significance? (15 points)
2. Average heart rate for Americans is 70 beats/minute. A group of 20 individuals participated in an aerobics fitness program to lower their heart rate. After six months, the group was evaluated to identify if the program had significantly slowed their heart. The mean heart rate for the group was 65 beats/minute with a standard deviation of 6.5. Was the aerobics program effective in lowering heart rate? (15 points)